1345105120200 has 96 divisors (see below), whose sum is σ = 4415109780960. Its totient is φ = 337595008000.

The previous prime is 1345105120147. The next prime is 1345105120273. The reversal of 1345105120200 is 20215015431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65926326 + ... + 65946725.

It is an arithmetic number, because the mean of its divisors is an integer number (45990726885).

Almost surely, 2^{1345105120200} is an apocalyptic number.

1345105120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345105120200 is an abundant number, since it is smaller than the sum of its proper divisors (3070004660760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1345105120200 is a wasteful number, since it uses less digits than its factorization.

1345105120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131873087 (or 131873078 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 1345105120200 in words is "one trillion, three hundred forty-five billion, one hundred five million, one hundred twenty thousand, two hundred".